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Finding the Third Proportional to 160,988 and 351,892

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Solution

The third proportional to 160,988 and 351,892 is: 769,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,988 : 351,892 = 351,892 : x
  2. Step 2: Convert to fraction form
    160,988/351,892 = 351,892/x
  3. Step 3: Cross multiply
    160,988x = 351,892 × 351,892
  4. Step 4: Simplify right side
    160,988x = 123,827,979,664
  5. Step 5: Solve for x
    x = 123,827,979,664/160,988
  6. Step 6: Final answer
    x = 769,175.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.